Part 1: complete the operations geometrically. vector operations to draw the resultant vector draw 2u + 4v.
1 answer:
Vectors are elements of the vector space, and they can be illustrated by diagrams.
<h3>How to draw the vector 2u + 4v?</h3>The vector expression is given as:
2u + 4v
Split the vector expressions, as follows:
y1 = 2u
y2 = 4v
Next, we have:
y = y1 + y2
See the attachment for the graph of 2u + 4v.
Read more about vectors at:
#SPJ1
You might be interested in
Answer:
Step-by-step explanation:
Given system of equations:
To solve by the method of substitution, substitute the first equation into the second equation and rearrange so that the equation equals zero:
Factor the quadratic:
Apply the <u>zero-product property</u> and solve for x:
Substitute the found values of x into the <u>second equation</u> and solve for y:
Therefore, the solutions are:
Answer:
The space inside the box = 2197 in³ - 1436.76 in³ is 760.245 in³.
Step-by-step explanation:
Here we have the volume of the cube box given by the following relation;
Volume of cube = Length. L × Breadth, B × Height, h
However, in a cube Length. L = Breadth, B = Height, h
Therefore, volume of cube = L×L×L = 13³ = 2197 in³
Volume of the basketball is given by the volume of a sphere as follows;
Volume =
Where:
r = Radius = Diameter/2 = 14/2 = 7in
∴ Volume of the basketball =
Therefore, the space inside the box that is not taken up by the basketball is found by subtracting the volume of the basketball from the volume of the cube box, thus;
The space inside the box = 2197 in³ - 1436.76 in³ = 760.245 in³.